Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis
From MaRDI portal
Publication:5147988
DOI10.1137/19M1308669MaRDI QIDQ5147988
Jed Brown, Stefan M. Wild, Yunhui He, Scott MacLachlan, Matt Menickelly
Publication date: 29 January 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00887
Nonconvex programming, global optimization (90C26) Optimization of shapes other than minimal surfaces (49Q10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Applications of operator theory in numerical analysis (47N40)
Related Items
Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ Smoothing analysis of two-color distributive relaxation for solving 2D Stokes flow by multigrid method ⋮ Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators ⋮ Algebraic multiscale grid coarsening using unsupervised machine learning for subsurface flow simulation ⋮ Optimized sparse approximate inverse smoothers for solving Laplacian linear systems ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonsmooth optimization via quasi-Newton methods
- Analysis of a multigrid Stokes solver
- On geometric multigrid methods for triangular grids using three-coarsening strategy
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- Optimization. Algorithms and consistent approximations
- The use of local mode analysis in the design and comparison of multigrid methods
- Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system
- A multigrid waveform relaxation method for solving the poroelasticity equations
- Automated local Fourier analysis (aLFA)
- Derivative-free robust optimization by outer approximations
- Black-box learning of multigrid parameters
- On eigenvalues of matrices dependent on a parameter
- Local Fourier analysis for mixed finite-element methods for the Stokes equations
- Finite Elements and Fast Iterative Solvers
- A Simple and Efficient Segregated Smoother for the Discrete Stokes Equations
- Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs
- Estimating Derivatives of Noisy Simulations
- On Multiple Eigenvalues of Matrices Depending on Several Parameters
- Two‐level Fourier analysis of multigrid for higher‐order finite‐element discretizations of the Laplacian
- Introduction to Derivative-Free Optimization
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- NITSOL: A Newton Iterative Solver for Nonlinear Systems
- Manifold Sampling for Optimization of Nonconvex Functions That Are Piecewise Linear Compositions of Smooth Components
- Fourier Analysis of Periodic Stencils in Multigrid Methods
- On the Analysis of Block Smoothers for Saddle Point Problems
- Local Fourier analysis of block‐structured multigrid relaxation schemes for the Stokes equations
- A Genetic Search for Optimal Multigrid Components Within a Fourier Analysis Setting
- A local Fourier analysis of additive Vanka relaxation for the Stokes equations
- Derivative-free optimization methods
- Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms
- On an Uzawa smoother in multigrid for poroelasticity equations
- A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization
- Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System
- On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients
- Manifold Sampling for $\ell_1$ Nonconvex Optimization
This page was built for publication: Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis